``Fast solution of the three-dimensional inverse problem of quasi-static elastography with the help of the small parameter method

DOI10.1134/s0965542523030090zbMath1515.74032OpenAlexW4367662873MaRDI QIDQ6039787

Alexander S. Leonov, Nikolai N. Nefedov, Anatoly G. Yagola, Alexander N. Sharov

Publication date: 23 May 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523030090

zbMATH Keywords

linear elasticityregular perturbationvariable Young moduluscancer diagnosis methodsurface-compressed tissue

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Biomechanical solid mechanics (74L15) Inverse problems in dynamical solid mechanics (74H75)

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Cites Work

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• Solution of the two-dimensional inverse problem of quasistatic elastography with the help of the small parameter method
• A posteriori error estimates for numerical solutions to inverse problems of elastography
• Solution of inverse problems in elasticity imaging using the adjoint method
• Solution of the three-dimensional inverse elastography problem for parametric classes of inclusions

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